The Guaranteed Cost Control of Uncertain Nonlinear Discrete Systems
In this paper, the problem of guaranteed cost control for a class of uncertain nonlinear discrete systems with state and input delay is studied. By applying Lyapunov stability theory and linear matrix inequality approach, sufficient conditions for the existence of state feedback controller are obtai...
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| Format: | Article |
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Harbin University of Science and Technology Publications
2019-04-01
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| Series: | Journal of Harbin University of Science and Technology |
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| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1669 |
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| author | FAN Li-ying SONG Jing-jing ZHANG Jia-ning HONG Gang |
| author_facet | FAN Li-ying SONG Jing-jing ZHANG Jia-ning HONG Gang |
| author_sort | FAN Li-ying |
| collection | DOAJ |
| description | In this paper, the problem of guaranteed cost control for a class of uncertain nonlinear discrete systems with state and input delay is studied. By applying Lyapunov stability theory and linear matrix inequality approach, sufficient conditions for the existence of state feedback controller are obtained to guarantee that the asymptotical stability of the close loop system and the quadratic performance index less a certain bound for all admissible uncertainties,t herefore, guaranteed cost problem solving. Finally, the effectiveness of the proposed method can be illustrated by the simulation example. |
| format | Article |
| id | doaj-art-60e6d3b7437f443eb7b3ae2e65d49b7c |
| institution | Kabale University |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2019-04-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-60e6d3b7437f443eb7b3ae2e65d49b7c2025-08-20T03:46:53ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832019-04-01240212112610.15938/j.jhust.2019.02.018The Guaranteed Cost Control of Uncertain Nonlinear Discrete SystemsFAN Li-ying0SONG Jing-jing1ZHANG Jia-ning2HONG Gang3Department of Applied Mathematics, Harbin University of Science and Technology, Harbin 150080, ChinaDepartment of Applied Mathematics, Harbin University of Science and Technology, Harbin 150080, ChinaDepartment of Applied Mathematics, Harbin University of Science and Technology, Harbin 150080, ChinaBasic Department, Heilongjiang Oriental College, Harbin 150066, ChinaIn this paper, the problem of guaranteed cost control for a class of uncertain nonlinear discrete systems with state and input delay is studied. By applying Lyapunov stability theory and linear matrix inequality approach, sufficient conditions for the existence of state feedback controller are obtained to guarantee that the asymptotical stability of the close loop system and the quadratic performance index less a certain bound for all admissible uncertainties,t herefore, guaranteed cost problem solving. Finally, the effectiveness of the proposed method can be illustrated by the simulation example.https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1669guaranteed cost controluncertain nonlinear systemsdiscrete systemslinear matrix inequality |
| spellingShingle | FAN Li-ying SONG Jing-jing ZHANG Jia-ning HONG Gang The Guaranteed Cost Control of Uncertain Nonlinear Discrete Systems Journal of Harbin University of Science and Technology guaranteed cost control uncertain nonlinear systems discrete systems linear matrix inequality |
| title | The Guaranteed Cost Control of Uncertain Nonlinear Discrete Systems |
| title_full | The Guaranteed Cost Control of Uncertain Nonlinear Discrete Systems |
| title_fullStr | The Guaranteed Cost Control of Uncertain Nonlinear Discrete Systems |
| title_full_unstemmed | The Guaranteed Cost Control of Uncertain Nonlinear Discrete Systems |
| title_short | The Guaranteed Cost Control of Uncertain Nonlinear Discrete Systems |
| title_sort | guaranteed cost control of uncertain nonlinear discrete systems |
| topic | guaranteed cost control uncertain nonlinear systems discrete systems linear matrix inequality |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1669 |
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